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arXiv · hep-th/9510137

Stochastic Hamiltonian for Non-Critical String Field Theories from Double-Scaled Matrix Models

Fumihiko Sugino·Tamiaki Yoneya
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Abstract

We present detailed discussions on the stochastic Hamiltonians for non-critical string field theories on the basis of matrix models. Beginning from the simplest $c=0$ case, we derive the explicit forms of the Hamiltonians for the higher critical case $k=3$ (which corresponds to $c=-22/5$) and for the case $c=1/2$, directly from the double-scaled matrix models. In particular, for the two-matrix case, we do not put any restrictions on the spin configurations of the string fields. The properties of the resulting infinite algebras of Schwinger-Dyson operators associated with the Hamiltonians and the derivation of the Virasoro and $W_3$ algebras therefrom are also investigated. Our results suggest certain universal structure of the stochastic Hamiltonians, which might be useful for an attempt towards a background independent string field theory.

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Fumihiko Sugino, Tamiaki Yoneya. 1996-01-09. Stochastic Hamiltonian for Non-Critical String Field Theories from Double-Scaled Matrix Models. https://doi.org/10.1103/physrevd.53.4448

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